Question

in the diagram, polygon ( abcd cong ) polygon ( pqrs ).
find the value of ( x )

Explanation:

Step1: Use the property of congruent polygons

Since \(ABCD\cong PQRS\), corresponding angles are equal. \(\angle A=\angle R\).

Step2: Set up the equation

We know that \(\angle A=(2x + 4)^{\circ}\) and \(\angle R = 80^{\circ}\). So, \(2x+4=80\).

Step3: Solve the equation for \(x\)

Subtract \(4\) from both sides: \(2x=80 - 4\), \(2x=76\).
Divide both sides by \(2\): \(x=\frac{76}{2}\).

Answer:

\(38\)